从积分的应用看积分学的改革  

Discuss Reform of Integral on Practical Use

作　　者：彭厚富 

出　　处：《数学教育学报》1997年第3期70-74,共5页Journal of Mathematics Education

基　　金：湖北省"普通高校教学研究省级项目"

摘　　要：论述了R积分理论严重脱离实际应用，增强应用能力不宜用“加法”，指出了积分学的对象、任务和“微无法”的本质，并指出明确这些才是增强应用能力的根本途径．循此思路改革积分学可使之“薄而有生气”．This paper discussed that theory of R-Integral serious was separated from practical use and 'addi tion' was not proper to increase power of practical use. This paper pointed out object,task of Integral and essence of 'Microlocal Method',and pointed out that to understand it was fundamental way to in crease power of practical use. According to the thought we can reform the Integral'toward lean and live ly

关 键 词：应用能力 微元法 测度微分 积分学 R积分 

分 类 号：O172.2[理学—数学]